Haldane insulator protected by reflection symmetry in the doped Hubbard model on the three-legged ladder

Abstract

We demonstrate the existence of an insulating phase in the three-legged Hubbard ladder at two-thirds filling. In this phase chargons are bound because the physics within a unit cell favors the formation of triplets. The resultant moments lead to a ground state in the Haldane phase, a symmetry protected topological state of matter. In this purely fermionic model, reflection is protecting but time reversal and dihedral symmetries are not, in contrast to spin models.

6 pages, 6 figures

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Cited by in corpus (15)

• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Heisenberg and Dzyaloshinskii-Moriya interactions controlled by molecular packing in tri-nuclear organometallic clusters
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Spin-orbit coupling in {Mo${}_3$S${}_7$(dmit)${}_3$}
• Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
• Spin-$0$ Mott insulator to metal to spin-$1$ Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• Effects of anisotropy in spin molecular-orbital coupling on effective spin models of trinuclear organometallic complexes
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Topological phase transition and the effect of Hubbard interaction on the one-dimensional topological Kondo insulator
• Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model
• Synthetic Hall tube of interacting fermions
• Persistent Haldane Phase in Carbon Tetris Chains